Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite that of u, u. v, u u, and v. v. (Round your answers to four decimal places.) U= 1 = (0, 1, √6), v = (-1, √6, -1) (a) the norms of u and v ||u|| = ||v|| = (b) a unit vector in the direction of v (c) (d) (e) a unit vector in the direction opposite that of u u. V u u

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
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Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite
that of u, uv, u u, and v. v. (Round your answers to four decimal places.)
u = (0, 1, √6), v = (-1, √6, -1)
(a) the norms of u and v
||u|| =
||v||
(b) a unit vector in the direction of v
(c) a unit vector in the direction opposite that of u
(d)
=
(e)
(f)
u. V
u u
.
V. V
Transcribed Image Text:Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite that of u, uv, u u, and v. v. (Round your answers to four decimal places.) u = (0, 1, √6), v = (-1, √6, -1) (a) the norms of u and v ||u|| = ||v|| (b) a unit vector in the direction of v (c) a unit vector in the direction opposite that of u (d) = (e) (f) u. V u u . V. V
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